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Modeling the spread of multiple contagions on multilayer networks

Author

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  • Jovanovski, Petar
  • Tomovski, Igor
  • Kocarev, Ljupco

Abstract

A susceptible–infected–susceptible (SIS) model of multiple contagions on multilayer networks is developed to incorporate different spreading channels and disease mutations. Upper and lower bounds of basic reproductive numbers are derived and rapid mutation processes are analytically analyzed. In the special case where only two contagions are considered, analytical results are obtained for the multilayer network model, a competition model with arbitrarily many layers, and a compartmental model. The developed model and the obtained results may help understanding other spreading phenomena including communicable diseases, cultural characteristics, addictions, or information spread through e-mail messages, web blogs and computer networks.

Suggested Citation

  • Jovanovski, Petar & Tomovski, Igor & Kocarev, Ljupco, 2021. "Modeling the spread of multiple contagions on multilayer networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 563(C).
    • Handle: RePEc:eee:phsmap:v:563:y:2021:i:c:s0378437120307494
    DOI: 10.1016/j.physa.2020.125410
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    References listed on IDEAS

    as
    1. Jiang, Jian & Zhou, Tianshou, 2018. "The influence of time delay on epidemic spreading under limited resources," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 508(C), pages 414-423.
    2. Angel Stanoev & Daniel Trpevski & Ljupco Kocarev, 2014. "Modeling the Spread of Multiple Concurrent Contagions on Networks," PLOS ONE, Public Library of Science, vol. 9(6), pages 1-16, June.
    3. Sergey Kryazhimskiy & Ulf Dieckmann & Simon A Levin & Jonathan Dushoff, 2007. "On State-Space Reduction in Multi-Strain Pathogen Models, with an Application to Antigenic Drift in Influenza A," PLOS Computational Biology, Public Library of Science, vol. 3(8), pages 1-1, August.
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